| Class Date | Section(s) Covered | Topics |
| Jan. 10 | Chapter 2 | introduction to course, definition and basic examples of groups |
| Jan. 12 | Chapter 2 and Chapter 0 | basic properties of groups |
| Jan. 14 | Chapter 0 | basic properties of integers |
| Jan. 19 | Chapter 0 | basic properties of integers, equivalence relations |
| Jan. 21 | Chapter 0 | equivalence relations |
| Jan. 24 | Chapter 0 | equivalence relations, modular arithmetic |
| Jan. 28 | Chapter 0 | modular arithmetic | Jan. 31 | Chapter 0 and Chapter 2 | Z/nZ |
| Feb. 2 | Chapter 0 and Chapter 2 | U(n), induction, other examples of groups |
| Feb. 4 | Chapter 3 | order of a group, subgroups |
| Feb. 7 | Chapter 1 | dihedral groups |
| Feb. 9 | Chapter 3 | center and centralizers |
| Feb. 11 | Chapter 4 | cyclic groups |
| Feb. 14 | Chapter 4 | cyclic groups |
| Feb. 16 | Chapter 4 | cyclic groups |
| Feb. 18 | Chapter 5 | permutation groups |
| Feb. 21 | Exam 1 | Chapter 0 through Chapter 4 |
| Feb. 23 | Chapter 6 | isomorphisms |
| Mar. 7 | Chapter 5 | permutation groups |
| Mar. 9 | Chapter 8 | direct products |
| Mar. 11 | Chapter 6 | isomorphisms |
| Mar. 14 | Chapter 6 | isomorphisms |
| Mar. 16 | Chapter 6 | isomorphisms |
| Mar. 18 | Chapter 6 | automorphisms |
| Mar. 21 | Chapter 10 | homomorphisms |
| Mar. 23 | Chapter 10 and Chapter 7 | Cayley's Theorem and cosets |
| Mar. 25 | Chapter 7 | cosets |
| Mar. 28 | Chapter 7 | Lagrange's Theorem |
| Mar. 30 | Chapter 7 | applications of Lagrange's Theorem |
| Apr. 1 | Chapter 9 | factor groups of abelian groups |
| Apr. 4 | Exam 2 | Chapter 5 through Chapter 8, Chapter 10 |
| Apr. 6 | Chapter 9 | normal subgroups |
| Apr. 8 | Chapter 9 | factor groups |
| Apr. 11 | Chapter 10 | isomorphism theorems |
| Apr. 13 | Chapter 9 and Chapter 12 | internal direct products and introduction to rings |
| Apr. 15 | Chapter 12 and Chapter 13 | properties of rings and integral domains |
| Apr. 18 | Chapter 14 | ideals |
| Apr. 20 | Chapter 16 | polynomial rings |
| Apr. 26 | Chapter 16 and Chapter 17 | polynomial rings and factoring |
| Apr. 27 | - | introduction to my research |
| May. 4 | Final Exam |